Assume you work for Amazon as operations analyst, please pick up two of the following topic, apply the linear programming to optimize something.

Dynamic Pricing Optimization: Develop a dynamic pricing model for Amazon$$s online marketplace that adjusts prices in real$-$time based on competitor prices, demand elasticity, and inventory levels.

Last$-$Mile Delivery Route Optimization: Create a model to optimize the routing of Amazon$$s delivery vehicles to minimize delivery times and costs while considering traffic patterns, customer preferences, and environmental impact.

Warehouse Space Optimization: Optimize the layout and space utilization of Amazon$$s fulfillment centers to improve picking efficiency and reduce operational costs.

$($Please clearly state the background and the problems the business needs to solve, and make some reasonable assumptions about data they can collect, then lists the decision variables, objective function $($like maximize the profits$)$ and dicuss about the constraints like capacity, labor force...$($at least $4).$ You do not need to provide the formulas, just discuss in words.$)$